The effect of radial inertia on flow localization in ductile rods subjected to dynamic extension

被引:3
作者
Rubin, M. B. [1 ]
Rodriguez-Martinez, J. A. [2 ]
机构
[1] Technion Israel Inst Technol, Dept Mech Engn, IL-32000 Haifa, Israel
[2] Univ Carlos III Madrid, Dept Continuum Mech & Struct Anal, Madrid 28911, Spain
关键词
Flow localization; Linear stability analysis; Perturbation growth; Radial inertia; STRAIN-RATE; RING FRAGMENTATION; MULTIPLE NECKING; EXPANSION; FAILURE; PREDICTIONS; INSTABILITY; BIFURCATION; BEHAVIOR; FRACTURE;
D O I
10.1016/j.ijimpeng.2014.02.006
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The objective of this work is to investigate the influence of radial inertia on the flow localization in ductile rods subjected to dynamic extension. Using the theory of a straight Cosserat rod which includes normal cross-sectional extension it is possible to obtain an exact solution for nonlinear uniform extension of a rigid-plastic material using a functional form of the yield stress that models the effect of the more general stress field in the necking region of the rod. Linear stability analysis of this exact nonlinear solution yields equations that generalize the formulation reported in Ref. [1] to include radial stretching and inertia. Examples show the quantitative effect of radial inertia on the stabilization of the localization process and on the determination of the expected length of fragments. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:157 / 164
页数:8
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